77536260396 has 384 divisors, whose sum is σ = 241904517120. Its totient is φ = 21020601600.

The previous prime is 77536260391. The next prime is 77536260401. The reversal of 77536260396 is 69306263577.

77536260396 is a `hidden beast` number, since 7 + 7 + 5 + 3 + 626 + 0 + 3 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (77536260391) and next prime (77536260401).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77536260391) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179898301 + ... + 179898731.

It is an arithmetic number, because the mean of its divisors is an integer number (629959680).

Almost surely, 2^77536260396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77536260396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120952258560).

77536260396 is an abundant number, since it is smaller than the sum of its proper divisors (164368256724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77536260396 is a wasteful number, since it uses less digits than its factorization.

77536260396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 77536260396 in words is "seventy-seven billion, five hundred thirty-six million, two hundred sixty thousand, three hundred ninety-six".